How do you model a decimal using a fraction

Answers

Answer 1

Answer: Okie dokie,
When converting a decimal, you use the place the decimal is in...
Let's review the places: tenths, hundredths, thousandths, etc.
You look at the last number to determine what place you're using!
-------------------
Now here's an example for the tenths place:
.5
it's in the tenths place, right? so put it over that number (with no decimal) over a 10.
(mobile) 5/10 or $(5)/(10)$
Now, decide if you can simplify. You can! 5/10 simplifies down to 1/2.
$(1)/(2)$ is your answer!
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Example for the hundredths place:
.26
the last number is in the hundredths place, so put the number (without a decimal) over 100!
26/100 or $(26)/(100)$
You can simplify this!
13/50 is your answer!

Calculators can also come in handy!
Good luck!

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Three posters cost $9.60. At that rate, how many posters can you buy for $48?

Answers

9.60 divided by 3 gives you 3.20 so the posters are $3.20 each.
48 divided by 3.20 equals 15.
You can purchase 15 posters with $48.

Final answer:

To find out how many posters you can buy for $48 given that three posters cost $9.60, you can set up a proportion and solve for x.

Explanation:

To find out how many posters you can buy for $48 given that three posters cost $9.60, you can set up a proportion.

First, find the price per poster: $9.60 ÷ 3 = $3.20 per poster.

Next, set up the proportion: $3.20 is to 1 poster as $48 is to x posters.

Cross multiply: $3.20x = $48.

Divide both sides by $3.20 to solve for x: x = 15.

Therefore, you can buy 15 posters for $48 at that rate.

Learn more about Proportions here:

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Describe the difference between an exact value and an approximation when finding square roots of numbers that are not perfect squares. Give an example of each.

Answers

Well, exact value is the real answer like there is not a remaining number. Approximation on the other hand is just an estimate or where the answer might be close to. Example can be square root of 25 is 5, but square root of 26 is 5 point something.

Final answer:

An exact value in square roots is the precise numerical value. It's typically computed from perfect squares. On the other hand, an approximation is given when dealing with numbers that aren't perfect squares and a precise square root cannot be calculated.

Explanation:

In mathematics, the terms exact value and approximation are often used when dealing with the concept of square roots and particularly, perfect squares.

An exact value is the precise numerical value of a square root. It's typically associated with perfect squares, as these can be exactly square rooted to a whole number. For instance, the square root of 25 (√25) is exactly 5 because 5*5 equals to 25.

On the other hand, an approximation is used when dealing with numbers that aren't perfect squares, and an exact square root cannot be found. For example, the square root of 10 (√10) cannot be expressed precisely as a whole or even as a simple fraction, so it is approximately 3.16.

It's important to understand the differencebetween these two concepts, especially when solving different mathematical problems.

Learn more about Square Roots here:

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Which statement is true about the graphs shown? A) Only graph A represents a proportional relationship. B) Only graph B represents a proportional relationship. C) Graph A and graph B both represent a proportional relationship. D) Graph A and graph B both represent a non-proportional relationship.

Answers

Answer:

I believe the answer is B.

Step-by-step explanation:

Because a proportional relationship is one where x is proportional (equal) to y, and Graph A does not fall into that category, and Graph B does, the answer should be B.

Answer:

The answer A

Step-by-step explanation:

Only graph A represents a proportional relationship.

Two quantities are proportional to each other if the graph is a straight line through the origin.

Which is bigger 6 liters or 6,500 millimiters

Answers

1 liter = 1000 milliliter
6 liters = 6000 milliliters < 6500 milliliters
Accordingly, 6 liters is less than 6500 milliliters

first of all i am pretty sure that you meant milliliters.
second of all the answer is 6,500 milliliters is bigger than 6 liters
one liter = 1,000 milliliters
so 6 liters = 6,000 milliliters
i hope i helped

What is the smallest whole number that when round to nearest 100 has an answer of 300

Answers

3 is the answer for this

Darrell needs a ride to the airport. He is deciding between two options:Option A is a shuttle that charges a flat rate of $42.

Option B is a cab that charges an initial fee of $4.50 plus an additional $1.25 for every mile traveled.

For what number of miles will Option B cost less than Option A? Let m represent the number of miles.

m < 12

m < 30

m < 38

m < 9